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Integral Inequalities of Hermite–Hadamard Type for Extended s -Convex Functions and Applications

Author

Listed:
  • Ye Shuang

    (College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia 028043, China)

  • Feng Qi

    (Institute of Mathematics, Henan Polytechnic University, Jiaozuo 454010, China
    Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin 300387, China)

Abstract

In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Hölder inequality some new integral inequalities of the Hermite–Hadamard type for extended s -convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.

Suggested Citation

  • Ye Shuang & Feng Qi, 2018. "Integral Inequalities of Hermite–Hadamard Type for Extended s -Convex Functions and Applications," Mathematics, MDPI, vol. 6(11), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:223-:d:178869
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